A Formula for The Associated Buchsbaum-Rim Multiplicities of A Direct Sum of Cyclic Modules Ii

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Abstract

The associated Buchsbaum-Rim multiplicities of a module are a descending sequence of non-negative integers. These invariants of a module are a generalization of the classical Hilbert-Samuel multiplicity of an ideal. In this article, we compute the associated Buchsbaum-Rim multiplicity of a direct sum of cyclic modules and give a formula for the second to last positive Buchsbaum-Rim multiplicity in terms of the ordinary Buchsbaum-Rim and Hilbert-Samuel multiplicities. This is a natural generalization of a formula given by Kirby and Rees.

13H15, 13P99

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - May 6 2018

Keywords

  • Buchsbaum-Rim function
  • Buchsbaum-Rim multiplicity
  • Cyclic modules
  • Hilbert-Samuel multiplicity

ASJC Scopus subject areas

  • General

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